As part of a weight reductionprogram, a man designs a monthly exercise program consisting ofbicycling, jogging, and swimming. He would like to exercise at most 22 hours, devote at most 8 hours toswimming, and jog for no more than the total number of hours bicycling and swimming. The calories burned by this person per hour bybicycling, jogging, and swimming are200, 518, and 282 respectively. How many hours should be allotted to each activity to maximize the number of caloriesburned? What is the maximum number of calories he willburn? (Hint: Write the constraint involving jogging in the form less than or equals 0.)